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The use of T-matrix method for determining coagulation rate of colloidal particles in light scattering measurement

Mi Li Zhou Hong-Wei Sun Zhi-Wei Liu Li-Xia Xu Sheng-Hua

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The use of T-matrix method for determining coagulation rate of colloidal particles in light scattering measurement

Mi Li, Zhou Hong-Wei, Sun Zhi-Wei, Liu Li-Xia, Xu Sheng-Hua
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  • The coagulation rate is an important parameter for colloids, which is very useful for evaluating the colloidal stability. Both static light scattering and dynamic light scattering are commonly used methods for measuring the coagulation rate. By using these methods, the light scattering properties of single particles and aggregates of two particles are needed. Therefore, one may need both the static and dynamic light scattering data to avoid the calculation of the relevant scattering properties. Usually, when only static or dynamic light scattering data are available, various approximations are used to solve the problems related to the light scattering properties of particles and aggregates. However, due to the limitation of size and shape of colloidal particles in these approximations, the results were not always satisfactory. Since the T-matrix method can be used to precisely calculate the characteristic of light scattering without approximation of particle size or shape, we use this method in the determination of coagulation rate in static or dynamic light scattering measurement in this study. The comparison of our results with those measured by simultaneous static and dynamic light scattering method confirms that the T-matrix method is suitable for the light scattering measurement of coagulation rate. Therefore, this study simplifies the coagulation rate measurement by light scattering methods and extends their applications.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 10972217, 11172302, 11032011), and the Knowledge Innovation Program of the Chinese Academy of Sciences (Grant No. KJCX2-YW-L08).
    [1]

    Arora A K, Tata B V R 1998 Advances in Colloid and Interface Science 49 97

    [2]

    Vincent B 1992 Adv. in Colloid Interface Sci. 42 279

    [3]

    Sun Z W, Xu S H, Dai G L, Li Y M, Lou L R, Liu Q S, Zhu R Z 2003 J. Chem. Phys. 119 2399

    [4]

    Sun Z W, Xu S H, Liu J, Li Y, Lou L R, Xie J C 2005 J. Chem. Phys. 122 184904

    [5]

    Elimelech M, Gregory J, Jia X, Williams R A 1995 Particle Deposition & Aggregation (1st. Edn.) (Oxford: Butterworth-Heinemann) p441

    [6]

    Yu W L, Matijevic E, Borkovec M 2002 Langmuir 18 7853

    [7]

    Kim A Y, Berg J C 2000 J. Colloid Interface Sci. 229 607

    [8]

    Xu S H, Sun Z W 2011 Soft Matter 11298-11308

    [9]

    Sun Z W, J L, Xu S H 2006 Langmuir 22 4946

    [10]

    Folkersma R, van Diemen A J G, Stein H N 1998 J. Colloid Interface Sci. 206 482

    [11]

    Xu S H, J L, Sun Z W 2006 J. Colloid Interface Sci. 304 107

    [12]

    Mishchenko M I, Travis L D, Lacis A A 2002 Scattering Absorption,and Emission of Light by Small Particles (Cambridge University Press: 1st,Ed.) (Cambridge, U.K) p439

    [13]

    Quirantes A, Delgado A 2003 J. Quant. Spectrosc. Radiat. Transfer. 78 179

    [14]

    Mackowski D W 1994 J. Opt. Soc. Am. A 11 2851

    [15]

    Holthoff H, Egelhaaf S U, Borkovec M, Schurtenberger P, Sticher H 1996 Langmuir 12 5541

    [16]

    Lin W, Galletto P, Borkovec M 2004 Langmuir 20 7465

    [17]

    Galletto P, Lin W, Borkovec M 2005 Phys. Chem. Chem. Phys. 7 1464

    [18]

    Mulholland G W, Bohren C F, Fuller K A 1994 Langmuir 10 2533

    [19]

    Holthoff H, Borkovec M, Schurtenberger P 1997 Phys. Rev. E 6945 6953

    [20]

    John H, Howard B 1983 Low Reynolds Number Hydrodynamics: With Special Applications To Particulate Media (1st. Edn.) (Netherland: Springer) p543

    [21]

    Matthaus W 1974 Beitr Meereskd 33 73

    [22]

    Nikolov I D, Ivanov C D 2000 Appl. Opt. 39 2067

  • [1]

    Arora A K, Tata B V R 1998 Advances in Colloid and Interface Science 49 97

    [2]

    Vincent B 1992 Adv. in Colloid Interface Sci. 42 279

    [3]

    Sun Z W, Xu S H, Dai G L, Li Y M, Lou L R, Liu Q S, Zhu R Z 2003 J. Chem. Phys. 119 2399

    [4]

    Sun Z W, Xu S H, Liu J, Li Y, Lou L R, Xie J C 2005 J. Chem. Phys. 122 184904

    [5]

    Elimelech M, Gregory J, Jia X, Williams R A 1995 Particle Deposition & Aggregation (1st. Edn.) (Oxford: Butterworth-Heinemann) p441

    [6]

    Yu W L, Matijevic E, Borkovec M 2002 Langmuir 18 7853

    [7]

    Kim A Y, Berg J C 2000 J. Colloid Interface Sci. 229 607

    [8]

    Xu S H, Sun Z W 2011 Soft Matter 11298-11308

    [9]

    Sun Z W, J L, Xu S H 2006 Langmuir 22 4946

    [10]

    Folkersma R, van Diemen A J G, Stein H N 1998 J. Colloid Interface Sci. 206 482

    [11]

    Xu S H, J L, Sun Z W 2006 J. Colloid Interface Sci. 304 107

    [12]

    Mishchenko M I, Travis L D, Lacis A A 2002 Scattering Absorption,and Emission of Light by Small Particles (Cambridge University Press: 1st,Ed.) (Cambridge, U.K) p439

    [13]

    Quirantes A, Delgado A 2003 J. Quant. Spectrosc. Radiat. Transfer. 78 179

    [14]

    Mackowski D W 1994 J. Opt. Soc. Am. A 11 2851

    [15]

    Holthoff H, Egelhaaf S U, Borkovec M, Schurtenberger P, Sticher H 1996 Langmuir 12 5541

    [16]

    Lin W, Galletto P, Borkovec M 2004 Langmuir 20 7465

    [17]

    Galletto P, Lin W, Borkovec M 2005 Phys. Chem. Chem. Phys. 7 1464

    [18]

    Mulholland G W, Bohren C F, Fuller K A 1994 Langmuir 10 2533

    [19]

    Holthoff H, Borkovec M, Schurtenberger P 1997 Phys. Rev. E 6945 6953

    [20]

    John H, Howard B 1983 Low Reynolds Number Hydrodynamics: With Special Applications To Particulate Media (1st. Edn.) (Netherland: Springer) p543

    [21]

    Matthaus W 1974 Beitr Meereskd 33 73

    [22]

    Nikolov I D, Ivanov C D 2000 Appl. Opt. 39 2067

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Publishing process
  • Received Date:  05 December 2012
  • Accepted Date:  14 March 2013
  • Published Online:  05 July 2013

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